Search a number
-
+
1012545424 = 241124312163
BaseRepresentation
bin111100010110100…
…011011110010000
32121120021122012101
4330112203132100
54033202423144
6244250210144
734043331322
oct7426433620
92546248171
101012545424
1147a612400
12243123954
13131a10507
1498695612
155dd5d6d4
hex3c5a3790

1012545424 has 60 divisors (see below), whose sum is σ = 2206695568. Its totient is φ = 449507520.

The previous prime is 1012545383. The next prime is 1012545463. The reversal of 1012545424 is 4245452101.

1012545424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1012545392 and 1012545401.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77167 + ... + 89329.

Almost surely, 21012545424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012545424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103347784).

1012545424 is an abundant number, since it is smaller than the sum of its proper divisors (1194150144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1012545424 is a wasteful number, since it uses less digits than its factorization.

1012545424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12236 (or 12219 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The square root of 1012545424 is about 31820.5189146877. The cubic root of 1012545424 is about 1004.1644413542.

Adding to 1012545424 its reverse (4245452101), we get a palindrome (5257997525).

The spelling of 1012545424 in words is "one billion, twelve million, five hundred forty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 43 44 86 88 121 172 176 242 344 473 484 688 946 968 1892 1936 3784 5203 7568 10406 12163 20812 24326 41624 48652 83248 97304 133793 194608 267586 523009 535172 1046018 1070344 1471723 2092036 2140688 2943446 4184072 5753099 5886892 8368144 11506198 11773784 23012396 23547568 46024792 63284089 92049584 126568178 253136356 506272712 1012545424